113 LearnersLast updated on May 26th, 2025
Square of 368
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 368.
What is the Square of 368
The square of a number is the product of the number itself. The square of 368 is 368 × 368. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 368², where 368 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25. The square of 368 is 368 × 368 = 135424. Square of 368 in exponential form: 368² Square of 368 in arithmetic form: 368 × 368
How to Calculate the Value of Square of 368
The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number. By Multiplication Method Using a Formula Using a Calculator
By the Multiplication method
In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 368. Step 1: Identify the number. Here, the number is 368. Step 2: Multiplying the number by itself, we get, 368 × 368 = 135424. The square of 368 is 135424.
Using a Formula (a²)
In this method, the formula, a² is used to find the square of the number. Where a is the number. Step 1: Understanding the equation Square of a number = a² a² = a × a Step 2: Identifying the number and substituting the value in the equation. Here, ‘a’ is 368. So: 368² = 368 × 368 = 135424
By Using a Calculator
Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 368. Step 1: Enter the number in the calculator. Enter 368 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 368 × 368. Step 3: Press the equal to button to find the answer. Here, the square of 368 is 135424. Tips and Tricks for the Square of 368 Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students. The square of an even number is always an even number. For example, 6² = 36 The square of an odd number is always an odd number. For example, 5² = 25 The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9. If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2 The square root of a perfect square is always a whole number. For example, √144 = 12.
Common Mistakes to Avoid When Calculating the Square of 368
Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found. For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 368² with (3 + 68)² or (300 + 68)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 368
Problem 1
Find the length of the square, where the area of the square is 135424 cm².
The area of a square = a² So, the area of a square = 135424 cm² So, the length = √135424 = 368. The length of each side = 368 cm
Explanation
The length of a square is 368 cm. Because the area is 135424 cm² the length is √135424 = 368.
Problem 2
Lisa is planning to carpet her square floor of length 368 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full floor?
The length of the floor = 368 feet The cost to carpet 1 square foot of floor = 5 dollars. To find the total cost to carpet, we find the area of the floor, Area of the floor = area of the square = a² Here a = 368 Therefore, the area of the floor = 368² = 368 × 368 = 135424. The cost to carpet the floor = 135424 × 5 = 677120. The total cost = 677120 dollars
Explanation
To find the cost to carpet the floor, we multiply the area of the floor by the cost to carpet per foot. So, the total cost is 677120 dollars.
Problem 3
Find the area of a circle whose radius is 368 meters.
The area of the circle = 425,023.36 m²
Explanation
The area of a circle = πr² Here, r = 368 Therefore, the area of the circle = π × 368² = 3.14 × 368 × 368 = 425023.36 m².
Problem 4
The area of the square is 135424 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a² Here, the area is 135424 cm² The length of the side is √135424 = 368 Perimeter of the square = 4a Here, a = 368 Therefore, the perimeter = 4 × 368 = 1472.
Problem 5
Find the square of 369.
The square of 369 is 136161
Explanation
The square of 369 is multiplying 369 by 369. So, the square = 369 × 369 = 136161
FAQs on Square of 368
1.What is the square of 368?
2.What is the square root of 368?
3.Is 368 a prime number?
4.What are the first few multiples of 368?
5.What is the square of 367?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 368?
8.How do technology and digital tools in India support learning Algebra and Square of 368?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 368.
Perfect Square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7². Even Number: An integer that is exactly divisible by 2. For example, 368 is an even number. Exponential Form: The expression of a number in terms of a base and an exponent, such as 368². Square Root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number. Multiplication Method: A technique to find the square of a number by multiplying it by itself.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 368
About BrightChamps in India
Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
